Secret doom dogs family (11)
I believe the answer is:
clandestine
'secret' is the definition.
('clandestine' can be a synonym of 'secret')
'doom dogs family' is the wordplay.
'doom' becomes 'destine' ('destine' can be a synonym of 'doom').
'dogs' is a charade indicator (letters next to each other) (dogs can mean follows or chases).
'family' becomes 'clan' (I've seen this before).
'destine' after 'clan' is 'CLANDESTINE'.
(Other definitions for clandestine that I've seen before include "through the backdoor" , "backroom" , "Done secretively" , "Concealed" , "Private" .)